Free Printable Slope Forms

1.

The equation of a line is y = -3. What is the slope of the line?

a)

-3

b)

undefined

c)

0

d)

1

2.

Write the equation of the line in slope intercept form that goes through the point (3, -1) and (8, -11).

a)

y = -2x + 5

b)

y = -2x - 7

c)

y = -1/2x + 5

d)

y = -1/2x - 7

3.

What is the equation of the special line has undefined slope, passes through the point (8, -4)

a)

x=-4

b)

y=8

c)

x=8

d)

y=-4

4.

What is the equation of the special line has zero slope, passes through the point (-2, 5)

a)

x=-2

b)

y=5

c)

x=5

d)

y=-2

5.

Which expression best describes the graph?

a)

y = x + 2

b)

$y\ =\ -\frac{2}{3}x\ +\ 3$

c)

$y=-\frac{2}{3}x\ +\ 2$

d)

$y=\frac{2}{3}x\ +3$

6.

What is the equation of this line?

a)

0

b)

undefined

c)

y = -2

d)

x = -2

7.

The following problem has been solved, but there may be an error. State whether the problem is correct or not. If not, explain the error.

a)

This is correct.

b)

The student should have a y-intercept of -3, then counted down 1 and to the right 4.

c)

The student should a y-intercept of 3, then counted down 1 and to the right 4.

d)

The student should have a y-intercept of -3, then counted up 1 and to the right 4.

8.

Two lines that are parallel will have ...

a)

Slope that is opposite reciprocals

b)

No slope

c)

Slope that is the same

d)

none of the above

9.

Two lines that are perpendicular lines have ...

a)

Slope that is opposite reciprocals

b)

No Slope

c)

Slope that is the same

d)

none of the above

10.

y = 3x +2
y = 3x - 3
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

d)

The same line

11.

y = -2/3x + 2
y = 3/2x + 9
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

12.

Which of the following equations has a graph PARALLEL to the line y = 4x + 7 with a y-intercept of -2?

a)

y = 4x - 2

b)

y = 4x + 8

c)

y = 7/2x + 7

d)

y = -1/4x + 1/2

13.

Which line is perpendicular to

y = 2x - 7 ?

a)

y = -2x + 8

b)

y = ¹/₂x - 7

c)

y = ^-1/₂x + 2

d)

y = 2x - 3

14.

What is the slope of a line perpendicular to a line with slope ^-6/₅?

a)

^-6/₅

b)

^-5/6

c)

⁵/₆

d)

^-4/₃

15.

-6x + y = 2

y = 6x - 5

These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

16.

Line 1: $\left(-1,\ 2\right),\ \left(2,\ 3\right)$
Line 2: $\left(0,\ 0\right),\ \left(3,\ 1\right)$
These two lines are ______________________

a)

Parallel

b)

Perendicular

c)

Neither

17.

Write the equation in point-slope form

of the line that passes through the point

(4, -7) and has a slope of -1/4.

a)

y + 7 = -1/4(x - 4)

b)

y - 4 = -1/4(x + 7)

c)

y + 7 = 4(x - 4)

d)

y - 7 = -1/4(x - 4)

18.

Write the equation of the line

in Point-Slope form that goes through

the point (10,5) and has a slope of -3

a)

y - 5 = -3(x - 10)

b)

y= -3x + 35

c)

y + 5= -3(x + 10)

d)

y= -3x - 35

19.

Convert the equation of the line

y + 5 = -3(x - 6)

into slope intercept form.

a)

y = -3x - 23

b)

y = -3x - 13

c)

y = -3x - 11

d)

y = -3x + 13

20.

Which of these represents point-slope form of a linear equation?

a)

y - y₁ = m(x - x₁)

b)

Ax + By = C

c)

y = mx + b

d)

y=kx

21.

Write the equation in point-slope form

for the line that contains the points

(3, -5) and (5, - 1)

a)

y - 5 = 2(x + 3)

b)

y + 5 = 2(x - 3)

c)

y - 3 = 2(x + 5)

d)

y + 3 = 2(x - 5)

22.

For the equation
y - 3 = 2(x + 4),
which of the following is true?

a)

The line has m = 2 passing through the point (4, -3)

b)

The line has m = 2 passing through the point (3, -4)

c)

The line has m = 2 passing through the point (-4, 3)

d)

The line has m = 2 passing through the point (-3, 4)

23.

The line with the equation

y + 1 = -3(x - 5),

contains the point (5, -1)

and has a slope of _______.

a)

-1

b)

1

c)

-3

d)

5

24.

What is the y intercept of

the line with the equation

y - 6 = -2(x + 5)

a)

-4

b)

-5

c)

-10

d)

6

25.

Write the equation in point-slope form for the line that contains the points
(-2, -3), (4, 3)

a)

y - 3 = 1(x - 2)

b)

y + 3 = 1(x + 2)

c)

y -3 = -1(x + 2)

d)

y + 3 = -1(x - 2)

26.

Given the graph, what is the equation of the line in point slope form?

a)

y - 20 = ½(x - 4)

b)

y - 20 = 5(x - 4)

c)

y + 20= 5(x + 4)

d)

y - 20 = 1(x - 4)

27.

Write the equation in Standard FORM

y=9x+\frac{2}{3}

(a)

28.

Write the equation in Standard FORM

3x-7=2x+4y_{ }

(a)

29.

Which of these represents standard form of a linear equation?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

30.

Rewrite to slope intercept form.
y - 4 = 2(x + 6)

a)

y = 2x + 10

b)

y = 2x + 8

c)

y = 2x + 16

d)

y = 2x + 20

31.

What is the point given in the following equation?
y-2= 3(x+1)

a)

(1,3)

b)

(-1,2)

c)

(1,-2)

d)

(-2,1)

32.

What is the slope of the line represented by $6x-5y=12$

a)

$-\frac{6}{5}$

b)

$\frac{5}{6}$

c)

$\frac{6}{5}$

d)

$-\frac{5}{6}$

33.

Write an equation in standard form that passes through the two given points:

(3,9) , (1,1)

a)

4x - y = 3

b)

-4x + y = -3

c)

-4x - y = 3

34.

What is the slope of the line represented by $-8x-4y=-12$

a)

$\frac{1}{2}$

b)

$2$

c)

$-2$

d)

$-\frac{1}{2}$

35.

What is the y-intercept?

a)

12

b)

-3

c)

8

d)

0

36.

What is the equation of this line?

a)

0

b)

undefined

c)

y = -2

d)

x = -2

37.

What is the equation of the line graphed?

a)

x = -1

b)

y = -1

c)

y = -1x

d)

y = x - 1

38.

Just by looking at this equation, can you see the slope?

y=7x-2

a)

Yes, it's 7

b)

Yes, it's 2

c)

Yes, it's -2

d)

No, you have to convert it

e)

Yes, it's -7

39.

Just by looking at this equation, can you see the y-int?

y=7x-2

a)

Yes, it's 7

b)

Yes, it's 2

c)

Yes, it's -2

d)

No, you have to convert it

e)

Yes, it's -7

40.

Just by looking at this equation, can you see the slope?

4x-2y=20

a)

Yes, it's 4

b)

Yes, it's -2

c)

Yes, it's 2

d)

No, you have to convert it

e)

Yes, it's 20

41.

Convert to Standard Form. $y=-\frac{7}{8}x+1$

a)

$7x+8y=1$

b)

$7x+8y=8$

c)

$56x+8y=8$

d)

$8x+7y=7$

42.

Convert to Standard Form. $y+4=\frac{1}{2}\left(x-12\right)$

a)

$2x+2y=-20$

b)

$x+2y=-20$

c)

$2x-2y=20$

d)

$x-2y=20$

43.

Explain how to graph the following equation...

y - 2 = $\frac{1}{3}\left(x-3\right)$

a)

Plot the point (−3,−2), move up 1 and right 3 units from there.

b)

Plot the point (3,2), move up 1 and left 3 units from there.

c)

Plot the point (3,2), move up 1 and right 3 units from there.

d)

Plot the point (2,3), move up 1 and right 3 units from there.

44.

Two lines that are parallel will have ...

a)

Slope that is opposite reciprocals

b)

No slope

c)

Slope that is the same

d)

none of the above

45.

Two lines that are perpendicular lines have ...

a)

Slope that is opposite reciprocals

b)

No Slope

c)

Slope that is the same

d)

none of the above

46.

y = 3x +2
y = 3x - 3
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

d)

The same line

47.

y = -2/3x + 2
y = 3/2x + 9
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

48.

Which of the following equations has a graph PARALLEL to the line y = 4x + 7 with a y-intercept of -2?

a)

y = 4x - 2

b)

y = 4x + 8

c)

y = 7/2x + 7

d)

y = -1/4x + 1/2

49.

Which line is perpendicular to

y = 2x - 7 ?

a)

y = -2x + 8

b)

y = ¹/₂x - 7

c)

y = ^-1/₂x + 2

d)

y = 2x - 3

50.

What is the slope of a line perpendicular to a line with slope ^-6/₅?

a)

^-6/₅

b)

^-5/6

c)

⁵/₆

d)

^-4/₃

51.

The following represents slopes of two lines. Which answer choice describes the two lines?
m = 3/4 and m = 4/3

a)

Parallel

b)

Perpendicular

c)

Neither

52.

-6x + y = 2

y = 6x - 5

These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

53.

Line 1: (15, 20), (17, 18)

Line 2: (-22, -18), (-20, -16)

The two lines are _____________________.

a)

Parallel

b)

Perpendicular

c)

Neither

54.

Line 1: $\left(-1,\ 2\right),\ \left(2,\ 3\right)$
Line 2: $\left(0,\ 0\right),\ \left(3,\ 1\right)$
These two lines are ______________________

a)

Parallel

b)

Perendicular

c)

Neither

55.

Write the equation of a line PARALLEL to that passes through the point (3, 1). $y=-\frac{5}{2}x+10$

a)

$y=-\frac{5}{2}x\ +\ 6$

b)

$y\ =-\frac{5}{2}x+\frac{17}{2}$

c)

$y=\frac{2}{5}x+6$

d)

$y=\frac{2}{5}x+\ 8$

56.

Write the equation of a line PERPENDICULAR to y = -2x + 1 that passes through the point (2, 3).

a)

$y=-\frac{1}{2}x+\frac{1}{2}$

b)

$y=\frac{1}{2}x+2$

c)

$y=-2x+7$

d)

$y=-2x+8$

57.

Write the equation of a line PARALLEL to 5x + 2y = 1 that passes through the point (-2, -3).

a)

$y=-\frac{5}{2}x-2$

b)

$y=-\frac{5}{2}x-8$

c)

$y=-\frac{5}{2}x+8$

d)

$y=\frac{2}{5}x+\frac{19}{5}$

58.

Write the equation of a line PERPENDICULAR to 3x + y = 1 that passes through the point (3, -1).

a)

$y=\frac{1}{3}x$

b)

$y=\frac{1}{3}x-2$

c)

$y=-3x+8$

d)

$y=\frac{1}{3}x+\frac{10}{3}$

59.

Write the equation of a line PERPENDICULAR to -2x + 5y - 3 = 0 that passes through the point (2, -3).

a)

$=-\frac{5}{2}x-\frac{11}{2}$

b)

$y=-\frac{5}{2}x+2$

c)

$y=-\frac{5}{2}x+8$

d)

$y=\frac{2}{5}x+\frac{19}{5}$

60.

Find the equation of the line that is parallel to the line y = 1

and contains the point (-7, 8).

a)

x = 8

b)

y = 8

c)

x = -7

d)

y = -7

61.

Find the equation of the line that is perpendicular to the line x = 1

and contains the point (-7, 8).

a)

y = -7

b)

x = -7

c)

x = 8

d)

y = 8

62.

Find the equation of the line that is parallel to the line x = 1

and contains the point (-7, 8).

a)

x = -7

b)

y = 8

c)

x = 8

d)

y = -7

63.

Find the equation of the line that is perpendicular to the line y = 1

and contains the point (-7, 8).

a)

x = 8

b)

y = -7

c)

x = -7

d)

y = 8

64.

The Oakville High School Marching Band sold gift wrap to earn money for a band trip. Solid color gift wrap sells for $3.50 per roll and printed gift wrap sells for $5 per roll. The band needs to earn $2,500 for an upcoming competition. If the band sells 325 rolls of printed paper, write and solve a linear equation to find the number of solid paper rolls they must sell.

(a)

65.

The cost for 7 dance lessons is $82. The cost for 11 lessons is $122. Write an equation in point-slope form to represent the total cost y for taking x lessons.

a)

y -7 = 10(x - 82)

b)

y - 82 = 10(x - 7)

c)

y = 10x + 12

d)

$y-82=\frac{1}{10}\left(x\ -7\right)$

66.

At a pet store, it costs $5 to wash a cat and $7.50 to wash a dog. Last week, the store made $60 from washing cats and dogs. Write a linear equation that could be used to find how many cats and dogs were washed.

a)

-5x + 7.5y = 60

b)

5x + 7.5x = 60

c)

5x - 7.5y = 60

d)

5x + 7.5y = 60

67.

Write the equation of a line PERPENDICULAR to y = -2x + 1 that passes through the point (2, 3).

a)

$y=-\frac{1}{2}x+\frac{1}{2}$

b)

$y=\frac{1}{2}x+2$

c)

$y=-2x+7$

d)

$y=-2x+8$

68.

Write the equation in point-slope form

of the line that passes through the point

(4, -7) and has a slope of -1/4.

a)

y + 7 = -1/4(x - 4)

b)

y - 4 = -1/4(x + 7)

c)

y + 7 = 4(x - 4)

d)

y - 7 = -1/4(x - 4)

69.

Write the equation of the line

in Point-Slope form that goes through

the point (10,5) and has a slope of -3

a)

y - 5 = -3(x - 10)

b)

y= -3x + 35

c)

y + 5= -3(x + 10)

d)

y= -3x - 35

70.

Convert the equation of the line

y + 5 = -3(x - 6)

into slope intercept form.

a)

y = -3x - 23

b)

y = -3x - 13

c)

y = -3x - 11

d)

y = -3x + 13

71.

Which of these represents point-slope form of a linear equation?

a)

y - y₁ = m(x - x₁)

b)

Ax + By = C

c)

y = mx + b

d)

y=kx

72.

Write the equation in point-slope form

for the line that contains the points

(3, -5) and (5, - 1)

a)

y - 5 = 2(x + 3)

b)

y + 5 = 2(x - 3)

c)

y - 3 = 2(x + 5)

d)

y + 3 = 2(x - 5)

73.

For the equation
y - 3 = 2(x + 4),
which of the following is true?

a)

The line has m = 2 passing through the point (4, -3)

b)

The line has m = 2 passing through the point (3, -4)

c)

The line has m = 2 passing through the point (-4, 3)

d)

The line has m = 2 passing through the point (-3, 4)

74.

The line with the equation

y + 1 = -3(x - 5),

contains the point (5, -1)

and has a slope of _______.

a)

-1

b)

1

c)

-3

d)

5

75.

What is the y intercept of

the line with the equation

y - 6 = -2(x + 5)

a)

-4

b)

-5

c)

-10

d)

6

76.

Write the equation in point-slope form for the line that contains the points
(-2, -3), (4, 3)

a)

y - 3 = 1(x - 2)

b)

y + 3 = 1(x + 2)

c)

y -3 = -1(x + 2)

d)

y + 3 = -1(x - 2)

77.

Given the graph, what is the equation of the line in point slope form?

a)

y - 20 = ½(x - 4)

b)

y - 20 = 5(x - 4)

c)

y + 20= 5(x + 4)

d)

y - 20 = 1(x - 4)

78.

Write the equation in Standard FORM

y=9x+\frac{2}{3}

(a)

79.

Write the equation in Standard FORM

3x-7=2x+4y_{ }

(a)

80.

Which of these represents standard form of a linear equation?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

81.

Rewrite to slope intercept form.
y - 4 = 2(x + 6)

a)

y = 2x + 10

b)

y = 2x + 8

c)

y = 2x + 16

d)

y = 2x + 20

82.

What is the point given in the following equation?
y-2= 3(x+1)

a)

(1,3)

b)

(-1,2)

c)

(1,-2)

d)

(-2,1)

83.

What is the slope of the line represented by $6x-5y=12$

a)

$-\frac{6}{5}$

b)

$\frac{5}{6}$

c)

$\frac{6}{5}$

d)

$-\frac{5}{6}$

84.

Write an equation in standard form that passes through the two given points:

(3,9) , (1,1)

a)

4x - y = 3

b)

-4x + y = -3

c)

-4x - y = 3

85.

What is the slope of the line represented by $-8x-4y=-12$

a)

$\frac{1}{2}$

b)

$2$

c)

$-2$

d)

$-\frac{1}{2}$

86.

What is the y-intercept?

a)

12

b)

-3

c)

8

d)

0

87.

What is the equation of this line?

a)

0

b)

undefined

c)

y = -2

d)

x = -2

88.

What is the equation of the line graphed?

a)

x = -1

b)

y = -1

c)

y = -1x

d)

y = x - 1

89.

Just by looking at this equation, can you see the slope?

y=7x-2

a)

Yes, it's 7

b)

Yes, it's 2

c)

Yes, it's -2

d)

No, you have to convert it

e)

Yes, it's -7

90.

Just by looking at this equation, can you see the y-int?

y=7x-2

a)

Yes, it's 7

b)

Yes, it's 2

c)

Yes, it's -2

d)

No, you have to convert it

e)

Yes, it's -7

91.

Just by looking at this equation, can you see the slope?

4x-2y=20

a)

Yes, it's 4

b)

Yes, it's -2

c)

Yes, it's 2

d)

No, you have to convert it

e)

Yes, it's 20

92.

Convert to Standard Form. $y=-\frac{7}{8}x+1$

a)

$7x+8y=1$

b)

$7x+8y=8$

c)

$56x+8y=8$

d)

$8x+7y=7$

93.

Convert to Standard Form. $y+4=\frac{1}{2}\left(x-12\right)$

a)

$2x+2y=-20$

b)

$x+2y=-20$

c)

$2x-2y=20$

d)

$x-2y=20$

94.

Explain how to graph the following equation...

y - 2 = $\frac{1}{3}\left(x-3\right)$

a)

Plot the point (−3,−2), move up 1 and right 3 units from there.

b)

Plot the point (3,2), move up 1 and left 3 units from there.

c)

Plot the point (3,2), move up 1 and right 3 units from there.

d)

Plot the point (2,3), move up 1 and right 3 units from there.

95.

Two lines that are parallel will have ...

a)

Slope that is opposite reciprocals

b)

No slope

c)

Slope that is the same

d)

none of the above

96.

Two lines that are perpendicular lines have ...

a)

Slope that is opposite reciprocals

b)

No Slope

c)

Slope that is the same

d)

none of the above

97.

y = 3x +2
y = 3x - 3
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

d)

The same line

98.

y = -2/3x + 2
y = 3/2x + 9
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

99.

Which of the following equations has a graph PARALLEL to the line y = 4x + 7 with a y-intercept of -2?

a)

y = 4x - 2

b)

y = 4x + 8

c)

y = 7/2x + 7

d)

y = -1/4x + 1/2

100.

Which line is perpendicular to

y = 2x - 7 ?

a)

y = -2x + 8

b)

y = ¹/₂x - 7

c)

y = ^-1/₂x + 2

d)

y = 2x - 3

101.

What is the slope of a line perpendicular to a line with slope ^-6/₅?

a)

^-6/₅

b)

^-5/6

c)

⁵/₆

d)

^-4/₃

102.

The following represents slopes of two lines. Which answer choice describes the two lines?
m = 3/4 and m = 4/3

a)

Parallel

b)

Perpendicular

c)

Neither

103.

-6x + y = 2

y = 6x - 5

These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

104.

Line 1: (15, 20), (17, 18)

Line 2: (-22, -18), (-20, -16)

The two lines are _____________________.

a)

Parallel

b)

Perpendicular

c)

Neither

105.

Line 1: $\left(-1,\ 2\right),\ \left(2,\ 3\right)$
Line 2: $\left(0,\ 0\right),\ \left(3,\ 1\right)$
These two lines are ______________________

a)

Parallel

b)

Perendicular

c)

Neither

106.

Write the equation of a line PARALLEL to that passes through the point (3, 1). $y=-\frac{5}{2}x+10$

a)

$y=-\frac{5}{2}x\ +\ 6$

b)

$y\ =-\frac{5}{2}x+\frac{17}{2}$

c)

$y=\frac{2}{5}x+6$

d)

$y=\frac{2}{5}x+\ 8$

107.

Write the equation of a line PERPENDICULAR to y = -2x + 1 that passes through the point (2, 3).

a)

$y=-\frac{1}{2}x+\frac{1}{2}$

b)

$y=\frac{1}{2}x+2$

c)

$y=-2x+7$

d)

$y=-2x+8$

108.

Write the equation of a line PARALLEL to 5x + 2y = 1 that passes through the point (-2, -3).

a)

$y=-\frac{5}{2}x-2$

b)

$y=-\frac{5}{2}x-8$

c)

$y=-\frac{5}{2}x+8$

d)

$y=\frac{2}{5}x+\frac{19}{5}$

109.

Write the equation of a line PERPENDICULAR to 3x + y = 1 that passes through the point (3, -1).

a)

$y=\frac{1}{3}x$

b)

$y=\frac{1}{3}x-2$

c)

$y=-3x+8$

d)

$y=\frac{1}{3}x+\frac{10}{3}$

110.

Write the equation of a line PERPENDICULAR to -2x + 5y - 3 = 0 that passes through the point (2, -3).

a)

$=-\frac{5}{2}x-\frac{11}{2}$

b)

$y=-\frac{5}{2}x+2$

c)

$y=-\frac{5}{2}x+8$

d)

$y=\frac{2}{5}x+\frac{19}{5}$

111.

Find the equation of the line that is parallel to the line y = 1

and contains the point (-7, 8).

a)

x = 8

b)

y = 8

c)

x = -7

d)

y = -7

112.

Find the equation of the line that is perpendicular to the line x = 1

and contains the point (-7, 8).

a)

y = -7

b)

x = -7

c)

x = 8

d)

y = 8

113.

Find the equation of the line that is parallel to the line x = 1

and contains the point (-7, 8).

a)

x = -7

b)

y = 8

c)

x = 8

d)

y = -7

114.

Find the equation of the line that is perpendicular to the line y = 1

and contains the point (-7, 8).

a)

x = 8

b)

y = -7

c)

x = -7

d)

y = 8

115.

The Oakville High School Marching Band sold gift wrap to earn money for a band trip. Solid color gift wrap sells for $3.50 per roll and printed gift wrap sells for $5 per roll. The band needs to earn $2,500 for an upcoming competition. If the band sells 325 rolls of printed paper, write and solve a linear equation to find the number of solid paper rolls they must sell.

(a)

116.

The cost for 7 dance lessons is $82. The cost for 11 lessons is $122. Write an equation in point-slope form to represent the total cost y for taking x lessons.

a)

y -7 = 10(x - 82)

b)

y - 82 = 10(x - 7)

c)

y = 10x + 12

d)

$y-82=\frac{1}{10}\left(x\ -7\right)$

117.

At a pet store, it costs $5 to wash a cat and $7.50 to wash a dog. Last week, the store made $60 from washing cats and dogs. Write a linear equation that could be used to find how many cats and dogs were washed.

a)

-5x + 7.5y = 60

b)

5x + 7.5x = 60

c)

5x - 7.5y = 60

d)

5x + 7.5y = 60

Slope Forms

Total questions: 117

Worksheet time: 10hrs 43mins

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